Tropical Combinatorics
Tropical Combinatorics
Tropical Combinatorics
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tconv{v1, . . .,vn} ⊂ T d−1 dual to regular<br />
subdivision of ∆n−1 × ∆d−1 defined by<br />
lifting ei × ej to height vij<br />
general position ←→ triangulation<br />
extra feature: exchanging the factors <br />
tconv(rows) ∼ = tconv(columns)<br />
recall: regular subdivision<br />
Products of Simplices<br />
{ab, ca}<br />
∆1 × ∆2<br />
cb<br />
bb<br />
aa ba<br />
tconv(2 points in T 2 )